Title: Solving Equations Containing
1Solving Equations Containing
Rational Expressions
2First, we will look at solving these problems
algebraically.
Here is an example that we will do together using
two different methods.
3The best way to solve a rational equation
Eliminate the fractions
This can be done by multiplying each side of the
equation by the LCD.
4(x2)(x-5)
What is the LCD?
5It is VERY important that you check your
answers!!!!!!!!!!!!!!!!!!
Check
6The other method of solving rational equations is
cross-multiplication.
7Here is another example that we will do together
8Step 1 Find the LCD
Hint Factor the denominator
This denominator can be factored into 3(x-2)
Therefore.
9Step 2 Multiply both sides of equation by LCD.
This eliminates the fraction.
6(x-2)
Â
10Step 3 Solve for x
11Since there are two answers, there needs to be
two checks.
Let x
12Check 2
Let x 2
When you check the number 2, you get a zero in
the denominator. This means that 2 can not be a
solution.
13Now, you do these on your own.